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Syllabus for examination to recruit TGT (Mathematics) in KVS Topic wise weightage; S.No TOPIC Level of questions as per weightage: 80% As per CBSE Level from following: Level of questions as per weightage: 20% As per under graduate level 1 NUMBER SYSTEMS Elementary Number Theory: Peano’s Axioms, Principle of Induction; First Principle, Second Principle , Third Principle Basis Representation Theorem Greatest Integer Function Test of Divisibility Euclid’s algorithm The Unique Factorisation Theorem, Congruence, Chinese Remainder Theorem Sum of divisors of a number . Euler’s totient function Theorems of Fermat and Wilson Under Graduate Level: Number System REAL NUMBERS Review of representation of natural numbers, integers, rational numbers on the number line. Representation of terminating / non-terminating recurring decimals, on the number line through successive magnification. Rational numbers as recurring/terminating decimals. Examples of nonrecurring / non terminating decimals. Existence of non-rational numbers (irrational numbers) such as 2, 3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, every point on the number line represents a unique real number. Existence of x for a given positive real number x (visual proof to be emphasized). Definition of nth root of a real number. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.) Rationalization (with precise meaning) of real numbers of the type (& their combinations) Euclid's division lemma, Fundamental Theorem of Arithmetic statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of gsl 1 Matrices R, R2, R3 as vector spaces over R and concept of Rn. Standard basis for each of them. Concept of Linear Independence and examples of different bases. Subspaces of R2, R3. Translation, Dilation, Rotation, Reflection in a point, line and plane. Matrix form of basic geometric transformations. Interpretation of eigenvalues and eigenvectors for such transformations and eigenspaces as invariant subspaces. Matrices in diagonal form. Reduction to diagonal form upto matrices of order 3. Computation of matrix inverses using elementary row operations. Rank of matrix. Solutions of a 2 gsl Algebra results - irrationality of 2, 3, 5, decimal expansions of rational numbers in terms of terminating/nonterminating recurring decimals. system of linear equations using matrices. Illustrative examples of above concepts from Geometry, Physics, Chemistry, Combinatorics and Statistics. . POLYNOMIALS Definition of a polynomial in one variable, its coefficients, with examples and counter examples, its terms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic, cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeros/roots of a polynomial / equation. State and motivate the Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a 0 where a, b, c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Further identities of the type (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx, (x y)3 = x3 y3 3xy (x y). x3 + y3 + z3 — 3xyz = (x + y + z) (x2 + y2 + z2 — xy — yz — zx) and their use in factorization of polymonials. Simple expressions reducible to these polynomials. 2. LINEAR EQUATIONS IN TWO VARIABLES Recall of linear equations in one variable. Introduction to the equation in two variables. Prove that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they seem to lie on a line. Examples, problems from real life, including problems on Ratio and Proportion and with algebraic and Inequalities: Elementary Inequalities, Absolute value, Inequality of means, Cauchy-Schwarz Inequality, Tchebychef’s Inequality Equations: Polynomial functions , Remainder & Factor Theorems and their converse ( advanced) , Relation between roots and coefficients , Symmetric functions of the roots of an equation., Common roots. Functional Equations. Combinatorics; Principle of Inclusion and Exclusion,Pigeon Hole Principle Recurrence Relations, Binomial Cofficients. 2 Under Graduate Level: Calculus Sequences to be introduced through the examples arising in Science beginning with finite sequences, followed by concepts of recursion and difference equations. For instance, the sequence arising from Tower of Hanoi game, the Fibonacci sequence arising from branching habit of trees and breeding habit of rabbits. Convergenee of a sequence and algebra or convergent sequences. Illustration of proof of convergence of some graphical solutions being done simultaneously. POLYNOMIALS Zeros of a polynomial. Relationship between zeros and coefficients of a polynomial with particular reference to quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients. 2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES Pair of linear equations in two variables. Geometric representation of different possibilities of solutions/ inconsistency. Algebraic conditions for number of solutions. Solution of pair of linear equations in two variables algebraically - by substitution, by elimination and by cross multiplication. Simple situational problems must be included. Simple problems on equations reducible to linear equations may be included. 61 3. QUADRATIC EQUATIONS Standard form of a quadratic equation ax2 + bx + c = 0, (a 0). Solution of the quadratic equations (only real roots) by factorization and by completing the square, i.e. by using quadratic formula. Relationship between discriminant and nature of roots. Problems related to day to day activities to be incorporated. 4. ARITHMETIC PROGRESSIONS Motivation for studying AP. Derivation of standard results of finding the nth term and sum of first n terms. gsl 3 simple sequences such as (–1)n/n, I/n2, (1+1/n)n, sin n/n, xn with x < 1. Functions & sequences: Sets. Functions and their graphs : polynomial, sine, cosine, exponential and logarithmic functions. Motivation and illustration for these functions through projectile motion, simple pendulum, biological rhythms, cell division, muscular fibres etc. Simple observations about these functions like increasing, decreasing and, periodicity. Sequences to be introduced through the examples arising in Science beginning with finite sequences, followed by concepts of recursion and difference equations. For instance, the Fibonacci sequence arising from branching habit of trees and breeding habit of rabbits. Intuitive idea of algebraic relationships and convergence. Infinite Geometric Series. Series formulas for ex, log (1+x), sin x, cos x. Step function. Intuitive idea of discontinuity, continuity and limits. Differentiation. Conception to be motivated through simple concrete examples as given above from Biological and Physical Sciences. Use of methods of differentiation like Chain rule, Product rule and Quotient rule. Second order derivatives of above functions. Integration as reverse process of differentiation. Integrals of the functions introduced above. 3 Geometry GEOMETRY 1. INTRODUCTION TO EUCLID'S GEOMETRY History - Euclid and geometry in India. Euclid's method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Equivalent versions of the fifth postulate. Showing the relationship between axiom and theorem. 1. Given two distinct points, there exists one and only one line through them. 2. (Prove) two distinct lines cannot have more than one point in common. 2. LINES AND ANGLES 1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180o and the converse. 2. (Prove) If two lines intersect, the vertically opposite angles are equal. 3. (Motivate) Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines. 4. (Motivate) Lines, which are parallel to a given line, are parallel. 5. (Prove) The sum of the angles of a triangle is 180o. 6. (Motivate) If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interiors opposite angles. 3. TRIANGLES 1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence). gsl 4 Geometry: Ceva’s Theorem,Menalus Theorem,Nine Point Circle,Simson’s Line,Centres of Similitude of Two Circles , Lehmus Steiner Theorem, Ptolemy’s Theorem 2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence). 3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence). 4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. 5. (Prove) The angles opposite to equal sides of a triangle are equal. 6. (Motivate) The sides opposite to equal angles of a triangle are equal. 7. (Motivate) Triangle inequalities and relation between 'angle and facing side' inequalities in triangles. 58 4. QUADRILATERALS 1. (Prove) The diagonal divides a parallelogram into two congruent triangles. 2. (Motivate) In a parallelogram opposite sides are equal, and conversely. 3. (Motivate) In a parallelogram opposite angles are equal, and conversely. 4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal. 5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely. 6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and (motivate) its converse. 5. AREA gsl 5 Review concept of area, recall area of a rectangle. 1. (Prove) Parallelograms on the same base and between the same parallels have the same area. 2. (Motivate) Triangles on the same base and between the same parallels are equal in area and its converse. 6. CIRCLES Through examples, arrive at definitions of circle related concepts, radius, circumference, diameter, chord, arc, subtended angle. 1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse. 2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord. 3. (Motivate) There is one and only one circle passing through three given non-collinear points. 4. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center(s) and conversely. 5. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle. 6. (Motivate) Angles in the same segment of a circle are equal. 7. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle. 8. (Motivate) The sum of the either pair of the opposite angles of a cyclic quadrilateral is 180o and its converse gsl 6 7. CONSTRUCTIONS 1. Construction of bisectors of line segments & angles, 60o, 90o, 45o angles etc., equilateral triangles. 59 2. Construction of a triangle given its base, sum/difference of the other two sides and one base angle. 3. Construction of a triangle of given perimeter and base angles. . TRIANGLES Definitions, examples, counter examples of similar triangles. 1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. 62 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar. 4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. 6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other. 7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their gsl 7 4 Coordinate Geometry corresponding sides. 8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. 9. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right traingle. 2. CIRCLES Tangents to a circle motivated by chords drawn from points coming closer and closer and closer to the point. 1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact. 2. (Prove) The lengths of tangents drawn from an external point to circle are equal. 3. CONSTRUCTIONS 1. Division of a line segment in a given ratio (internally) 2. Tangent to a circle from a point outside it. 3. Construction of a triangle similar to a given triangle COORDINATE GEOMETRY The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane, graph of linear equations as examples; focus on linear equations of the type 57 ax + by + c = 0 by writing it as y = mx + c and linking with the chapter on linear equations in two variables. LINES (In two-dimensions) Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representation of quadratic polynomials. Distance gsl 8 between two points and section formula (internal). Area of a triangle. 5 Solid Geometry 1. AREAS Area of a triangle using Hero's formula (without proof) and its application in finding the area of a quadrilateral. 2. SURFACE AREAS AND VOLUMES Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/ cones. AREAS OF PLANE FIGURES Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60o, 90o & 120o only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.) 63 2. SURFACE AREAS AND VOLUMES (i) Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone. (ii) Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken.) 6 Trigonometry TRIGONOMETRY 1. TRIGONOMETRIC RATIOS Trigonometric ratios of an acute angle of a right-angled triangle. gsl 9 Proof of their existence (well defined); motivate the ratios, whichever are defined at 0o & 90o. Values (with proofs) of the trigonometric ratios of 30o, 45o & 60o. Relationships between the ratios. 2. TRIGONOMETRIC IDENTITIES Proof and applications of the identity sin2 A + cos2 A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles. 3. HEIGHTS AND DISTANCES Simple and believable problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30o, 45o, 60o. 7 Probability & Stastics 1. STATISTICS Introduction to Statistics : Collection of data, presentation of data — tabular form, ungrouped / grouped, bar graphs, histograms (with varying base lengths), frequency polygons, qualitative analysis of data to choose the correct form of presentation for the collected data. Mean, median, mode of ungrouped data. Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph. 2. PROBABILITY History, Repeated experiments and observed frequency approach to probability. Focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real - life situations, and from examples used in the chapter on gsl 10 Under Graduate Level: Statistics Elementary Probability and basic laws. Discrete and Continuous Random variable, Mathematical Expectation, Mean and Variance of Binomial, Poisson and Normal distribution. Sample mean and Sampling Variance. Hypothesis testing using standard normal variate. Curve Fitting. Corelation and Regression. statistics). Classical definition of probability. Connection with probability as given in Class IX. Simple problems on single events, not using set notation. Total gsl 11 English PLAN OF EXAMINATION AND SYLLABUS FOR THE RECRUITMENT OF TGTs OF ENGLISH EXAMINATION OBJECTIVES To read with comprehension and not merely decode. To evaluate and infer a given text/s at local and global level. To skim and scam for specific and general information from a given text/s and read between the lines. To deduce the meaning of unfamiliar lexical items in a given text and provide synonyms / antonyms etc. To organize thoughts coherently in a piece of writing using a variety of cohesive devices. To write a short composition, e.g. notice, message or report in a given context and word limit. To write a long composition, e.g. article / speech / debate etc. presenting ideas/views/arguments coherently. To use an appropriate style , language / vocabulary and format for writing formal and informal letters with fluency and accuracy. To identify various grammatical items (mainly tenses, modals, voice, subject –verb concord, connectors, clauses, parts of speech, determiners , narration). To use the grammatical items accurately and appropriately in meaningful context. To understand interpret and respond to various features of a literacy text – style/text-type/theme/plot/social milieu /character/language etc To test the candidate’s knowledge of different authors, genres and themes from different parts of the world. To test the candidate’s familiarity with the emerging trends in writings eg:. Modern Writing, Indian- English writing , Latin-American Writing, English – Writing etc from varying cultural contexts.) To test the candidate’s sensitivity towards contemporary socio-cultural issues. To test the candidate’s critical thinking abilities. Syllabus for recruitment of TGTs of English The syllabus for the recruitment of TGTs of English is designed to test a candidate’s proficiency in language and knowledge of content acquired up to the graduate level. It aims to test the following : gsl 12 Reading Comprehension (Section - A) Ability to comprehend, analyze and interpret an unseen text Three/four unseen texts of varying lengths (150-250 words) with a variety of objective type, multiple choice questions (including questions to test vocabulary) testing factual and global comprehension. Writing ability (Section – B) Testing ability to express facts views / opinions in a coherent and logical manner in a style suitable to the task set. B.1 One short writing task such as: notice, message or a postcard. B.2 Writing a report of an event, process, or place. B.3 Writing an article / debate / speech based on visual / verbal input on a given concurrent topic for e.g. environment, education, child labour, gender bias, drug- abuse etc presenting own views fluently. B.4 Writing a letter (formal/informal) on the basis of verbal / visual input. Letter types include: (a) letter to the editor; (b) letter of complaint ; (c) letter of request ; (d) descriptive , personal letters. Grammar and Usage (Section – C) Ability to apply the knowledge of syntax, language/ grammatical items and to use them accurately in context. The following grammatical structures will be tested through multiple-choice questions : (1) Tenses (2) Modals gsl 13 (3) (4) (5) (6) (7) (8) (9) Voice Subject- verb concord Connectors Clauses Parts of speech Punctuation Sequencing to form a coherent sentence or a paragraph. Literature (Section – D) To test the candidate’s familiarity with the works of writers of different genres and periods of English Literature . The candidate should have a thorough knowledge of : Shakespeare’s works. Romantic Period (e.g. Shelley, Wordsworth , Keats, Coleridge, Byron etc.) 19th & 20th Century American and English Literature (e.g. Robert Frost Hemingway, Ted Hudges, Whitman, Hawthorne, Emily Dickinson, Bernard Shaw etc) Modern Indian Writing in English (e.g. Anita Desai, Vikram Seth , Nissim Ezekiel, K.N. Daruwala, Ruskin Bond, R.K. Narayan, Mulk Raj Anand, Khushwant Singh etc.) Modern Writings in English from different parts of the world. Section – C Grammar And Usage The following grammatical structures will be tested through error correction, editing, gap filling, sentence completion and multiple choice questions : 1. Tenses 2. Modals 3. Voice 4. Subject verb concord gsl 14 5. Punctuation 6. Connectors 7. Clauses 8. Parts of Speech 9. Sequencing to form a coherent sentence or paragraph Section – D Knowledge of Literature/Literacy Trends Question Unit / Area of Testing Length of Poem/Passage D1 Critical Appreciation of a poem (unseen) D2 Extract from a prose piece or drama 600 –700 (unseen)with questions testing any 3 0f the words following (a)Literacy devices (b)Theme (c)Inferences (d)Character (e)Plot D3 The question should carry 10 marks weightage, Which can be split into four-five gsl 15 objective type questions such as : Matching the authors / poets with their works. Matching the literacy terms with their definitions. Identifying the quotes from the literary texts. Completing the idioms / lines from a well known poem. Identifying the figures of speech from given lines. Note – Section A,C & D3 will consist of objective type questions Section B and D (except D3) will consist of subjective type questions testing a candidate’s ability to write short/ long answer questions ranging from 50-500 words. [===============] gsl 16 SCIENCE SYLLABUS FOR RECRUITMENT OF TGT(Sc) DETAILED SYALLABUS (DIFFICULTY LEVEL GRADUATION) UNIT 1:- EFFECT OF CURRENT Potential; potential difference ohms law; series combination of resistors, parallel combination of resistors; Power dissipation due to current; Inter relation between P,V,I and R. Magnetic field & magnetic lines, Magnetic field due to current carrying conductor; Fleming left hand rule, Electromagnetic Induction; Induced Potential Difference, Induced current; Direct current, Alternating current; Frequency of AC, Advantage of Electronic Motor & Electronic Generator. UNIT 2:- LIGHT Convergence and Divergence of light; Images formed by a Concave Mirror; related concepts, centre of curvature; principles axis, optic centre, focus, focal length, Refraction & laws of refraction. Images formed by a convex lens; functioning of vision and remedies. Applications of spherical mirrors and lenses. Appreciation of concept of refraction index; Twinkling of stars; Dispersion of light; Scattering of light. PRACTICAL 1. Focal length of a concave mirror & convex lens of a distance object. 2. Refraction Index of a Glass Slab. gsl 17 UNIT 3:- SOURCES OF ENERGY. Different forms of Energy, Leading to different sources for human use: Fossil Fuels, solar energy; Biogas; Wind; Water and Tidal Energy; Nuclear Energy. Renewable versus non-renewable sources. UNIT 4 :- MOTION ; FORCE AND NEWTON’S LAWS. Displacement, Velocity, uniform & Non-Uniform motion along a straight line, acceleration distance-time and velocity, Time graphs for uniform and uniformly accelerated motion; Equations of motion by graphical method Equations of motion by graphical method; Elementary idea of uniform circular motion. Force and Motion; Newton’s laws of motion Inertia of a body; Inertia and Mass, Momentum Force and acceleration, Elementary idea of conservation of momentum, Action and Reaction forces. UNIT 5:- GRAVITATION; WORK , ENERGY AND POWER Gravitation; Universal Law Of Gravitation, Force of gravitation of the earth(gravity, acceleration due to gravity; mass and weight; free fall. Work done by a force energy, power ; Kinetic and Potential energy; law of conservation of energy. UNIT 6:- FLOATATION Thrust and Pressure, Archimedes Principle ,Buoyancy, Elementary idea of relative density. PRACTICAL gsl 18 Density of solid by using a Spring Balance & Measuring Cylinder. UNIT 7:- SOUND Nature of Sound and its Propagation in various media, Speed of Sound, Range of hearing in Humans; Ultra Sound, Reflection of sound; Echo and SONAR; Structure of the Human Ear(Auditory aspect only) PRACTICAL:Velocity of pulse propagated through a String. gsl 19 Kendriya Vidyalaya Sangathan Syllabus and Guidelines for recruitment of TGT (Science)- (Chemistry portion) in KVS. S.No. Topic (Details of the syllabus) 1 Matter-Nature and Behaviour: States of matter: Gases, liquids, solids, plasma and Bose- Enstein condenstate, types of intermolecular forces. Classification of matter into mixtures and pure substances. Henry’s Law. Concentration of solutions. Colloids- phases of colloids, Tyndall effect, Brownian movement. suspension. Properties of matter. Measurement of properties of matter- S.I. system of units, physical and chemical changes. Laws of chemical combination Gay Lussac’s law, Avogadro law, atomic and molecular masses, average atomic mass, mole concept and molar masses, percentage composition. 2 3 gsl Structure of Atom: Dalton’s atomic theory, Discharge tube experiments, J J Thomson’s model of atom, Rutherford’s model, Bohr’s model of atom, electronic configuration, formation of ions, Characterisation of elements as metals, metalloids, or non-metals, isotopes (their applications), isobars and isotones. Periodic Classification of Elements: Mendeleev’s periodic law, 20 4 Periodic properties of elements, - trends in the periods and groups: Importance of the periodic table, position of hydrogen in the periodic table. Chemical Substances – Nature and behaviour Acid, Bases and Salts: Classical definition of acids and bases, Bronsted- Lowry theory, Lewis concept of acid and bases, relative strengths of acids and bases, logarithmic or p scale- pH, pOH and pkw, ionic equilibria in a solution Action of indicators on acids and bases, sources of acid and bases, Salt-Classification of salts and their pH 5 6 7 gsl Chemical Reactions: Formulation of chemical equations, balancing chemical equations, Types of chemical equations with examples. Metals and Non- Metals: Characters of metals and nonmetals including all properties and applications Occurrence of metals in nature : ores and minerals, enrichment of ores – metallurgical operations. Corrosion: rusting of iron - prevention of corrosion Carbon Compounds: Position of carbon in the periodic 21 table. Concept of hybridization and shapes of molecules structural formula and molecular models, types of reactions undergone by organic compounds, homologous series of compounds having different functional groups, isomerism, IUPAC nomenclature of organic compounds. Hydrocarbons – their classification formation of coal and petroleum. Industrial source, preparation and properties of alkanes Alcohols: Preparation and properties. Qualitative analysis of alcohols, iodoform test, effect of alcohols on living beings. Carboxylic acids: Preparation and properties. Functional group analysis of carboxylic acid. Soaps , detergents , biodegradable detergents. Carbon fibres. 8 NATURAL RESOURCES: Our Environment: Atmosphere , role of atmosphere in climate control, wind, rain,Environmental pollution: Global warming and green house effect, acid rain, particulate pollutants, smog, formation of photochemical smog. Formation of ozone and its break down, ozone hole, causes of ozone hole formation, polar vortex, effects of depletion of ozone hole. gsl 22 9 10 Water pollution- oxygen demand, chemical oxygen demand, International standard of drinking water, processing of drinking water. Soil pollution: waste recycling, Strategies to control environmental pollution, its collection and proper methods of disposal. Biogeochemical cycles: water cycle, nitrogen cycle, carbon cycle and oxygen cycle. Conservation of Natural Resources: Pollution of river water, Ganga action plan for improving quality of water, (1) Need for sustainable management of natural resources. Development of non- conventional energy resources to prevent pollution and atmospheric conservation. Man Made Material: Ceramics, cement, porcelein, glass, carbon fibres, soaps and detergents, polymers, fibres and plastics. [===========] gsl 23 Social Science PROPOSED SYLLABUS FOR Social Science TGT [X] 1) Contemporary World a. Industrial Revolution b. Economic Depression c. Labour &Peasant class issues d. Growth of industries in India in twentieth e. Century f. e. Features of colonial society in India 2) French Revolution a. Causes b. Events c. Impact d. Consequences 3) The Revolt of 1857 4) Indian Freedom Struggle – 1885 to 1947 CIVICS 1. Power sharing 2. Federalism 3. Democracy and Diversity gsl 24 4. Political parties 5. Elections 6. Challenges to Democracy 7. Popular struggle and movements –like in Nepal, Bolivia HISTORY Proposed syllabus for TGT (Social Science) KVS Introduction to solar system; origin of earth, Motions of the Earth: Rotation, Revolution, Occurrence of Day and Night; change of seasons; Latitudes and Longitudes; Finding time. Earth’s Interior: Origin of continents and ocean basins Wegener’s Continental drift theory, Theory of Plate Tectonics, Earthquakes and Volcanoes, Folding and faulting Rocks and minerals: Types of rocks; soil formation; major types and characteristics. Agents of gradation: Weathering, mass wasting, running water, wind, glaciers, sea waves and Karsat topography Climate: Atmosphere - Composition and structure, elements of weather and climate Insulation -Heat Budget, Heating and cooling of atmosphere, Conduction, Convection, Solar Radiation, Terrestrial raditiation, Advection, Temperature, Factors controlling temperature, distribution of temperature-horizontal and vertical Pressure -Pressure belts, winds, cyclones and anti-cyclone, Evaporation, condensation and precipitation and their forms: Humidity, rainfall and its types. World climates- Classification, greenhouse effect, global worming and global climate change. gsl 25 Water (Oceans): Distribution of water bodies on the Earth’s surface; hydrological cycle. Ocean- Submarine relief, distribution of temperature and salinity; movement of ocean water’s-waves, tides currents of Atlantic, Pacific and Indian Ocean Maps and Scales- Definition and classification Finding directions, conventional signs Techniques of representing relief features on map; contours, Hachures, Hill shading, layer tinting. Representation of climatic data; line and Bar Graph, (Climograph) Isotherms, isobars and isohyets Biosphere: Ecology, type of Eco-System, structure and functions of Eco-system-Food Chain, Food Web, World Biomes, Ecological Balance , Biodiversity and its conservation. India (Size and Location) Physical features of India Geological Structure, Physiographic divisions, drainage system and its evolution. Climate: origin and mechanism of Indian monsoon, Seasons of India, Classification of Climate of India (Coeppen’s) Soil: Types and distribution: Natural vegetation: types and distribution. Population: Growth and Distribution of population: Causes & Factors Migration-Causes and consequences Population theories & their relevance- Malthus, Demographic transition - theory Population composition and its Attributes: Population and sustainable development; Population as a resource; Population problems and polices with reference to India. Resources and Development Meaning, nature and Components of resources and environment; Resources, environment and technology interface: classification of resources. gsl 26 Distribution, utilization, economic and environmental significance and conservation of water, Minerals, Forests and fisheries; production and distribution of major crops, wild life resource and energy resources. Agriculture Wet and dry agriculture, Intensive, Extensive, shifting, commercial and plantation agricultural development and problems, crop intensity, major crops. Manufacturing Industries Classification, locational factors, types and distribution, industrial clusters of India, Production and distribution of sugar, Cotton Textile Iron and steel, chemicals and electronic industries. Life lines of National Economy Means of transportation and communication, Roads, Railways, waterways and airways, oil and gas pipelines, National electric grid, radio, television satellite and computers International trade - Changing pattern of India’s foreign trade, sea ports and airports: Tourism as trade. Understanding Disaster and Hazards. Type of Disasters- Natural & Manmade. 1. Disaster Management : Becoming a Disaster manager. Components of Disaster management. 2. Disaster risk reduction: Disaster risk management. Understanding Disaster mitigation. Specific Hazards and mitigation. 3. Common manmade Disasters and their prevention 4. Community based Disaster Management and social planning for Disasters. 5. Tsunami: The killer sea waves. 6. Survival skills: During and After Disaster. 7. Alternative Communication system. 8. Safe construction Practices gsl 27 9. Sharing Responsibilities 10.Planning Ahead Components of production People as Resource Economic activities/ non economic activities Population Education Health Unemployment/Employment Poverty as a challenge Poverty line Poverty & inequality Policies for poverty reduction Poverty estimates Food security in India Food security Green revolution Buffer stock Issue Price/Support price Role of co-operative societies in food security gsl 28 Development Growth/Development and structural development: Growth and distribution, sustainable agricultural growth Growth structural changes Population and human resource development Purchasing power parity (PPP) Main features of Indian Economy at the time of Independence Economic development Gross enrolment ratio Foreign trade & Economic development Development & under development Distribution of Income/factors of development Sectors of the Economy Classification of Sectors like- Primary/Secondary/Organized/unorganized/Public/Private sector Small and Large Industry Performance of the Public Sector Privatization Employment growth in the Industrial sector Money & Credit Indian Monetary System Function of money Banks : o Central Bank function gsl 29 o Commercial Banks Self help Groups (SHGs) Debt trap Demand of money & supply of money Financial markets Money and capital market Monetary aggregates in India. Contemporary World Industrial Revolution Economic Depression Labour &Peasant class issues Growth of industries in India in twentieth Century Features of colonial society in India French Revolution Causes Events Impact Consequences The Revolt of 1857 Indian Freedom Struggle – 1885 to 1947 Russian Revolution-1917, Causes, Events, Impact on Russia and the World, Consequences gsl 30 Rise of Socialism Philosophy of Karl Marx Socialism in Europe Impact of Socialism Rise of Fascist Forces in Germany & Italy The Two World Wars and the establishment of UN CIVICS Power sharing Federalism Democracy and Diversity Political parties Elections Challenges to Democracy Popular struggle and movements –like in Nepal, Bolivia Democracy Concept Salient Features Local Self Government Elections Democracy in India & the World Indian Constitution Framing of the constitution Adoption of the constitution Working of Institutions –Parliament , Judiciary gsl 31 Fundamental Rights HINDI dsUnzh; fo|ky; laxBu izf”kf{kr Lukrd f”k{kd dh p;u&ijh{kk gsrq ikB~;Øe fo’k; & fgUnh [k.M & d O;kdj.k ,oa jpuk 12- 3- gsl fgUnh Hkk’kk & ifjp; mn~Hko vkSj fodkl o.kZ fopkj I o.kZ rFkk ys[ku O;oLFkk ¼orZuh½ II /ofu O;oLFkk III laf/k “kCn fopkj I “kCn vkSj “kCn HkaMkj 32 “kCn&Hksn & vFkZ] jpuk] lzksr] iz;ksx rFkk O;kdjf.kd izdk;Z ds vk/kkj ijA II “kCn Hk.Mkj %& i;kZ;okph foijhrkFkZd le:ihfHkUukFkZd ,dkFkhZ vusdkFkhZ vusd “kCnksa ds fy, ,d “kCn vFkZ&Hksn okys “kCn “kCn ;qXe III “kCn fuekZ.k milxZ izR;; lekl in fopkj d½ fodkjh “kCn %& I) laKk II) loZuke gsl 33 5- gsl III) fo”ks’k.k IV) fØ;k ¼bu lHkh ds Hksn] fyax] opu] dkjd] Hkkookpd laKk,¡ cukuk] fo”ks’k.k cukuk] izfo”ks’k.k] voLFkk,¡] fØ;k dh :i jpuk] ldeZd] vdeZd] izsj.kkFkZd] vuqdj.kkRed] lgk;d] lqa;Dr uke/kkrq vkfn fØ;k] dky] okP;] vfUofr½ [k½ vfodkjh “kCn %& I) fØ;k fo”ks’k.k II) leqP;cks/kd III) lEcU/k cks/kd ¼bu lHkh ds Hksn] fjDr LFkku&iwfrZ½ IV) foLe;kfn cks/kd V) fuikr x½ inifjp; ?k½ inca/k okD; fopkj %& I okD;&Lo:i II lajpuk&mís”;] fo/ks;A II Hksn&vFkZ] jpuk ,oa okP; ds vk/kkj ijA III okD;&ifjorZu ¼jpukUrj.k ,oa :ikUrj.k½ 34